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Chaos synchronization between the Mackey–Glass systems with multiple time delays

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  • Shahverdiev, E.M.
  • Nuriev, R.A.
  • Hashimov, R.H.
  • Shore, K.A.

Abstract

We study chaos synchronization between two unidirectionally linearly and nonlinearly coupled Mackey–Glass systems with multiple time delays and find the existence and sufficient stability conditions for different synchronization regimes. The role of parameter mismatches is also investigated. We support the analytical approach with numerical simulations.

Suggested Citation

  • Shahverdiev, E.M. & Nuriev, R.A. & Hashimov, R.H. & Shore, K.A., 2006. "Chaos synchronization between the Mackey–Glass systems with multiple time delays," Chaos, Solitons & Fractals, Elsevier, vol. 29(4), pages 854-861.
    • Handle: RePEc:eee:chsofr:v:29:y:2006:i:4:p:854-861
    DOI: 10.1016/j.chaos.2005.08.128
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    Cited by:

    1. Li, Nianqiang & Pan, Wei & Yan, Lianshan & Luo, Bin & Xu, Mingfeng & Jiang, Ning & Tang, Yilong, 2011. "On joint identification of the feedback parameters for hyperchaotic systems: An optimization-based approach," Chaos, Solitons & Fractals, Elsevier, vol. 44(4), pages 198-207.
    2. Hoang, Thang Manh, 2011. "Complex synchronization manifold in coupled time-delayed systems," Chaos, Solitons & Fractals, Elsevier, vol. 44(1), pages 48-57.
    3. Chen, Mou & Chen, Wen-hua, 2009. "Robust adaptive neural network synchronization controller design for a class of time delay uncertain chaotic systems," Chaos, Solitons & Fractals, Elsevier, vol. 41(5), pages 2716-2724.
    4. Hoang, Thang Manh, 2009. "Transition among synchronous schemes in coupled nonidentical multiple time delay systems," Chaos, Solitons & Fractals, Elsevier, vol. 42(2), pages 938-950.
    5. Marat Akhmet & Kağan Başkan & Cihan Yeşil, 2023. "Revealing Chaos Synchronization Below the Threshold in Coupled Mackey–Glass Systems," Mathematics, MDPI, vol. 11(14), pages 1-15, July.
    6. Li, Lixiang & Peng, Haipeng & Yang, Yixian & Wang, Xiangdong, 2009. "On the chaotic synchronization of Lorenz systems with time-varying lags," Chaos, Solitons & Fractals, Elsevier, vol. 41(2), pages 783-794.
    7. Shahverdiev, E.M. & Hashimova, L.H. & Hashimova, N.T., 2008. "Chaos synchronization in some power systems," Chaos, Solitons & Fractals, Elsevier, vol. 37(3), pages 827-834.

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